Logo

An Introduction to Algebraic Surgery

Small book cover: An Introduction to Algebraic Surgery

An Introduction to Algebraic Surgery
by

Publisher: arXiv
Number of pages: 82

Description:
Browder-Novikov-Sullivan-Wall surgery theory investigates the homotopy types of manifolds, using a combination of algebra and topology. It is the aim of these notes to provide an introduction to the more algebraic aspects of the theory (such as the Wall surgery obstruction groups), without losing sight of the geometric motivation.

Home page url

Download or read it online for free here:
Download link
(550KB, PDF)

Similar books

Book cover: A Primer on Homotopy ColimitsA Primer on Homotopy Colimits
by - University of Oregon
This is an expository paper on homotopy colimits and homotopy limits. These are constructions which should arguably be in the toolkit of every modern algebraic topologist. Many proofs are avoided, or perhaps just sketched.
(8420 views)
Book cover: Differential Forms and Cohomology: CourseDifferential Forms and Cohomology: Course
by - Intelligent Perception
Differential forms provide a modern view of calculus. They also give you a start with algebraic topology in the sense that one can extract topological information about a manifold from its space of differential forms. It is called cohomology.
(6902 views)
Book cover: Algebraic and Geometric TopologyAlgebraic and Geometric Topology
by - Springer
The book present original research on a wide range of topics in modern topology: the algebraic K-theory of spaces, the algebraic obstructions to surgery and finiteness, geometric and chain complexes, characteristic classes, and transformation groups.
(14779 views)
Book cover: Topology Lecture NotesTopology Lecture Notes
by - UEA
Contents: Topological and Metric Spaces, Homotopy Exquivalence, Fundamental Groups, Covering Spaces and Applications, Classification of Surfaces, Simplicial Complexes and Homology Groups, Homology Calculations, Simplicial Approximation, etc.
(10383 views)